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Arithmetic Reasoning Questions

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Choose the correct option.

An enterprising businessman earns an income of Re. 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. One the 10th day of business, his income is


ARs. 29

BRs. 210

CRs. 10

DRs. 102

Answer: Option A

Explanation:

Income on the first day = Re. 1.

Income on the 2nd day = Rs. (1x2) = Rs. 21.

Income on the 3rd day = Rs. (21 x 2) = Rs. 22 and so on. Thus, Income on the rath day = Rs. 2n-1.

Therefore Income on the 10th day = Rs. 29.

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Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?


A7 times

B8 times

C9 times

D11 times

Answer: Option B

Explanation:

L.C.M. of 6, 5, 7, 10 and 12 is 420.

So, the bells will toll together after every 420 seconds i.e. 7 minutes.

Now, 7 x 8 = 56 and 7 x 9 = 63.

Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the start.

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A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed


A30 birds

B60 birds

C72 birds

D90 birds

Answer: Option A

Explanation:

ar-11

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A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?


A100

B104

C108

DNone of these

Answer: Option B

Explanation:

Since each pole at the corner of the plot is common to its two sides, so we have :

Total number of poles needed = 27 x 4 - 4 = 108 - 4 = 104.

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A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?


A45

B60

C75

D90

Answer: Option D

Explanation:

Let number of notes of each denomination be x.

Then, x + 5x + 10x = 480 16x = 480 x = 30.

Hence, total number of notes = 3x = 90.

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After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets ?


A328

B348

C358

DData inadequate

Answer: Option C

Explanation:

Let the total number of sweets be (25x + 8).

Then, (25x + 8) - 22 is divisible by 28

(25x - 14) is divisible by 28 28x - (3x + 14) is divisible by 28

(3x + 14) is divisible by 28 x = 14.

Therefore Total number of sweets = (25 x 14 + 8) = 358.

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A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?


A4

B8

C12

D24

Answer: Option D

Explanation:

Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.

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A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is


A120

B124

C144

D200

Answer: Option B

Explanation:

Let the number of 20-paise coins be x. Then, number of 25-paise coins = (324 - x).

Therefore 0.20 x x + 0.25 (324 - x) = 71 20x + 25 (324 - x) = 7100

5x= 1000 x = 200. Hence, number of 25-paise coins = (324 - x) - 124.

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In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?


A6

B12

C18

D24

Answer: Option B

Explanation:

Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x(4/3) = 24.

If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.

Therefore Number of girls in the class = (36 - 24) = 12.

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In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is


A5

B8

C10

D15

Answer: Option D

Explanation:

Let number of keepers be x. Then,

Total number of feet = 2 x 50 + 4 x 45 + 4 x 8 + 2x = 2x + 312.

Total number of heads = 50 + 45 + 8 + x= 103 + x.

Therefore (2x + 312) = (103 + x) + 224 or x = 15.

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